Question

In the given figure, a square dart board is shown. The length of a side of the larger square is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?

Figure

Answer 1

Given: A square dart board is shown. The length of a side of the larger square is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the larger square

To find: Probability that it will land in the interior of the smaller square

Let the length of smaller square is x cm

Therefore the length of side of bigger square will be 1.5x cm

Figure

We know that Probability =

Hence probability that the dart will land in the interior of the smaller square is equal to =.